[1]} analyzed the
relationship between age and the status of coronary heart disease (CHD)
based on 100 subjects participated in a study. The data set contains \(n_0=57\)  ages from control group and \(n_1=43\)  ages from case group:
\(y_0=\) (20, 23, 24, 25, 26, 26, 28, 28, 29, 30, 30, 30, 30, 30, 32,
32, 33, 33, 34, 34, 34, 34, 35, 35, 36, 36, 37, 37, 38, 38, 39,
40, 41, 41, 42, 42, 42, 43, 43, 44, 44, 45, 46, 47, 47, 48, 49,
49, 50, 51, 52, 55, 57, 57, 58, 60, 64) and
\(y_1=\) (25, 30, 34, 36, 37, 39, 40, 42, 43, 44, 44, 45, 46, 47, 48,
48, 49, 50, 52, 53, 53, 54, 55, 55, 56, 56, 56, 57, 57, 57, 57,
58, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 69).
The extreme sample statistics are \(z_{(1)}=20\)  and \(z_{(n)}=69\) .
We choose truncation interval \([a,b]=[20,70]\) , \(r(y)=y\) , and transform \(y_i\) 's to \(x_i=(y_i-a)/(b-a)\) , \(i=0,1\) . The control is selected as baseline and \(\hat{m}_b=3\) . Using \(M=\mathbb {I}_{1}^{ 20}\)  as a candidate set we obtained \(\tilde{m}=\hat{m}=3\)  (see the upper panel of Figure REF ).
The MABLE's of \(f_i\)  and \(F_1\)  are given by (REF ) and () with \(\hat{\mathbf {p}}=(0.09686, 0.89834, 0.00000, 0.004796)^\mathrm {\scriptscriptstyle \top }\)  and \(\hat{\mathbf {\alpha }}=(-5.040, 0.111)^\mathrm {\scriptscriptstyle \top }\)  with SE
\((0.945, 0.020)^\mathrm {\scriptscriptstyle \top }\)  based 1000 bootstrap runs. This is very close to the MELE \(\tilde{\mathbf {\alpha }}=(-5.02760,0.11092)^\mathrm {\scriptscriptstyle \top }\)  with
SE \((1.134, 0.024)^\mathrm {\scriptscriptstyle \top }\)  [1]}, [3]}.
